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10020221211126 = 237733268173911
BaseRepresentation
bin1001000111010000001110…
…1110011101000111110110
31022110220221110000012200210
42101310003232131013312
52303132403112224001
633151120455450250
72052636264660510
oct221640356350766
938426843005623
1010020221211126
113213608713255
121159b9b986986
13578b97605bc9
14268da4958bb0
151259b0307dd6
hex91d03b9d1f6

10020221211126 has 32 divisors (see below), whose sum is σ = 23217107470848. Its totient is φ = 2823702258240.

The previous prime is 10020221211097. The next prime is 10020221211127. The reversal of 10020221211126 is 62111212202001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020221211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1634083890 + ... + 1634090021.

It is an arithmetic number, because the mean of its divisors is an integer number (725534608464).

Almost surely, 210020221211126 is an apocalyptic number.

10020221211126 is an abundant number, since it is smaller than the sum of its proper divisors (13196886259722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10020221211126 is a wasteful number, since it uses less digits than its factorization.

10020221211126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268173996.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10020221211126 its reverse (62111212202001), we get a palindrome (72131433413127).

The spelling of 10020221211126 in words is "ten trillion, twenty billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 3066 3268173911 6536347822 9804521733 19609043466 22877217377 45754434754 68631652131 137263304262 238576695503 477153391006 715730086509 1431460173018 1670036868521 3340073737042 5010110605563 10020221211126